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Finding the Fourth Proportional to 30,459.56, 45,690.78 and 9,683.24

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Solution

The fourth proportional to 30,459.56, 45,690.78 and 9,683.24 is: 14,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.56 : 45,690.78 = 9,683.24 : x
  2. Step 2: Convert to fraction form
    30,459.56/45,690.78 = 9,683.24/x
  3. Step 3: Cross multiply
    30,459.56x = 45,690.78 × 9,683.24
  4. Step 4: Simplify right side
    30,459.56x = 442,434,788.53
  5. Step 5: Solve for x
    x = 442,434,788.53/30,459.56
  6. Step 6: Final answer
    x = 14,525.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.